Step-by-step solution to find the factors and factor pairs of 75:
- If a whole number divides 75 evenly (remainder = 0), then it is a factor of 75 (divisor factor), and the corresponding quotient is also a factor of 75 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 75
- With the exception of 0, all whole numbers less than or equal to the square root of 75 (√75 ) are possible divisor factors of 75
- √75 = 8.6603
- Possible Divisor Factors of 75: 1, 2, 3, 4, 5, 6, 7, 8
- Filter list of possible divisor factors by testing divisibility of 75 by 2, 3, 4, and 5
- Possible Divisor Factors of 75 (filtered): 1, 3, 5, 7
- Divide 75 by the possible divisor factors in the filtered list
- Factors of 75: 1, 3, 5, 15, 25, 75
- Factor Pairs of 75: (1*75) (3*25) (5*15)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
